576580680 has 288 divisors, whose sum is σ = 2107942200. Its totient is φ = 141927552.

The previous prime is 576580673. The next prime is 576580699. The reversal of 576580680 is 86085675.

576580680 is a `hidden beast` number, since 5 + 7 + 6 + 580 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9474084 + 567106596 = 3078^2 + 23814^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44352354 + ... + 44352366.

Almost surely, 2^576580680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 576580680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053971100).

576580680 is an abundant number, since it is smaller than the sum of its proper divisors (1531361520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

576580680 is an frugal number, since it uses more digits than its factorization.

576580680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 576580680 is about 24012.0944525878. The cubic root of 576580680 is about 832.3130332507.

576580680 divided by its sum of digits (45) gives a cube (12812904 = 234³).

The spelling of 576580680 in words is "five hundred seventy-six million, five hundred eighty thousand, six hundred eighty".